That phenomenon is due to comparative sizes. The moon looks larger at the horizon because you have something to compare it to.
The phenomenon does not apply in the case of an eclipse. The moon is either big enough to fully block the sun, or isn’t. In this case it wasn’t, but without sitting down with a notepad and calculator I can’t determine if being further away would have less of an effect on the sun than it does the moon. (I’m on the second cup now)
There was nowhere along the current path where the observer-to-Moon difference would’ve mattered much — very negligible here, as the relative angular sizes of the Moon vs Sun were just too great.
This WON’T be the case during November’s “hybrid” solar eclipse, where the viewer’s distance to the Moon will be significant...